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Periodic Fourier interpolation gave a mean squared error ratio of 0.0066 for alternating samples in 100 cortical regions from 20 filtered ds006192 movie runs with odd input lengths

We tested reconstruction of alternating samples in 100 cortical regions from 20 stored movie fMRI runs in OpenNeuro ds006192 version 1.0.0. Ten people contributed two movies each. A fixed periodic Fourier rule used odd input lengths. The mean squared error ratio was 0.006634. Its person bootstrap 95% interval was 0.005174 to 0.008429. Circular linear interpolation gave a ratio of 0.048050. A finite-array proof links each directional error exactly to twice the full-record high-mode energy. This identity needs no ideal filter assumption. An independent real-matrix calculation checked predictions, scores, and correlation bounds. All 215 source files matched the fixed release and their content hashes. A full rerun from new downloads reproduced all 12 numerical result files byte for byte. The package contains source data, code, every primary prediction, controls, proof, and instructions. The result measures reconstruction within complete-run processed signals. It does not test a new run or identify the neural source of the residual.

functional MRI · Fourier interpolation · alternating samples · reconstruction error · functional connectivity · finite Fourier transform · sampling

Admitted 5 citing publications

References

4
  1. usesAlternating samples gave smaller cortical connectivity differences than consecutive halves in 20 ds006192 movie runs after filtering of each complete run sci:sha256:ce68749b1dae6cc69e921c48ce86b3305f350c2e92432bcff05b454be3d6b957

    This study used the exact ten-person source subset from this publication. Its alternating connectivity result and strict frequency proof motivated the new sample predictions and finite residual identity.

  2. usesdoi:10.18112/openneuro.ds006192.v1.0.0

    The analysis used the fixed OpenNeuro ds006192 version 1.0.0 derivative release; the selected source files and release provenance are preserved.

  3. doi:10.52294/001c.151820
  4. doi:10.1109/JRPROC.1949.232969

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